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5052007008 = 253231571991
BaseRepresentation
bin1001011010001111…
…11000001001100000
3111001002020112202200
410231013320021200
540321303211013
62153150013200
7236123231256
oct45507701140
914032215680
105052007008
1121627a9704
12b8baa7200
1362686a679
1435cd5c5d6
151e87cae73
hex12d1f8260

5052007008 has 144 divisors (see below), whose sum is σ = 14871048192. Its totient is φ = 1625184000.

The previous prime is 5052006959. The next prime is 5052007027. The reversal of 5052007008 is 8007002505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×50520070082 = 51045549617762224128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5097393 + ... + 5098383.

It is an arithmetic number, because the mean of its divisors is an integer number (103271168).

Almost surely, 25052007008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5052007008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435524096).

5052007008 is an abundant number, since it is smaller than the sum of its proper divisors (9819041184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5052007008 is a wasteful number, since it uses less digits than its factorization.

5052007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5052007008 is about 71077.4718740052. The cubic root of 5052007008 is about 1715.8842245068.

The spelling of 5052007008 in words is "five billion, fifty-two million, seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 571 744 991 992 1116 1142 1488 1713 1982 2232 2284 2973 2976 3426 3964 4464 4568 5139 5946 6852 7928 8919 8928 9136 10278 11892 13704 15856 17701 17838 18272 20556 23784 27408 30721 31712 35402 35676 41112 47568 53103 54816 61442 70804 71352 82224 92163 95136 106206 122884 141608 142704 159309 164448 184326 212412 245768 276489 283216 285408 318618 368652 424824 491536 552978 565861 566432 637236 737304 849648 983072 1105956 1131722 1274472 1474608 1697583 1699296 2211912 2263444 2548944 2949216 3395166 4423824 4526888 5092749 5097888 6790332 8847648 9053776 10185498 13580664 17541691 18107552 20370996 27161328 35083382 40741992 52625073 54322656 70166764 81483984 105250146 140333528 157875219 162967968 210500292 280667056 315750438 421000584 561334112 631500876 842001168 1263001752 1684002336 2526003504 5052007008